Abelian Gradings on Upper Block Triangular Matrices

DOI10.4153/CMB-2011-048-4zbMath1244.16036OpenAlexW1982440342MaRDI QIDQ3119034

Mikhail V. Zaicev, Angela Valenti

Publication date: 7 March 2012

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: http://cms.math.ca/10.4153/CMB-2011-048-4

zbMATH Keywords

graded algebraselementary gradingsgroup gradingsupper block triangular matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (13)

Graded identities of \(M_n(E)\) and their generalizations over infinite fields ⋮ Minimal varieties of associative PI (super)-algebras with respect to their (graded) exponent ⋮ On ℤ_n-graded identities of block-triangular matrices ⋮ Graded polynomial identities on upper block triangular matrix algebras. ⋮ Gradings on block-triangular matrix algebras ⋮ Graded isomorphisms on upper block triangular matrix algebras ⋮ Graded identities and isomorphisms on algebras of upper block-triangular matrices ⋮ Group gradings on upper block triangular matrices ⋮ Graded identities of block-triangular matrices ⋮ Classifying good gradings on structural matrix algebras ⋮ Group gradings on the Lie and Jordan algebras of block-triangular matrices ⋮ Graded involutions on block-triangular matrix algebras ⋮ The graded identities of upper triangular matrices of size two

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